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Some criteria for uniform K-stability
Published 11 Jul 2019 in math.AG and math.DG | (1907.05293v1)
Abstract: We prove some criteria for uniform K-stability of log Fano pairs. In particular, we show that uniform K-stability is equivalent to $\beta$-invariant having a positive lower bound. Then we study the relation between optimal destabilization conjecture and the conjectural equivalence between uniform K-stability and K-stability in the twisted setting.
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